Patchy environment as a factor of complex plankton dynamics

Medvinsky, Alexander B.; Tikhonova, Irina A.; Алиев, Р. Р.; Li, Bai-Lian; Zhen-shan, Lin; Malchow, Horst

doi:10.1103/physreve.64.021915

Cited by 50 publications

(40 citation statements)

References 31 publications

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“…In both cases, we found that growth is enhanced for a critical time scale comparable to the one associated with the biological system, as it was also pointed out in previous studies (Medvinsky et al, 2001;Sandulescu et al, 2007Sandulescu et al, , 2008. We found an optimal Eulerian time scale for the Gaussian flow of τ c ≈ 9 − 17 days and optimal Lagrangian time scales of τ c ≈ 5 − 15 days for the Gaussian and the altimetry flow, where the relevant time scale for the advected plankton system is the Lagrangian one.…”

Section: Discussionsupporting

confidence: 70%

The role of mesoscale eddies time and length scales on phytoplankton production

Pérez‐Muñuzuri

Huhn

2010

Nonlin. Processes Geophys.

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Abstract. Horizontal mixing has been found to play a crucial role in the development of spatial plankton structures in the ocean. We study the influence of time and length scales of two different horizontal two-dimensional (2-D) flows on the growth of a single phytoplankton patch. To that end, we use a coupled model consisting of a standard three component ecological NPZ model and a flow model able to mimic the mesoscale structures observed in the ocean. Two hydrodynamic flow models are used: a flow based on Gaussian correlated noise, for which the Eulerian length and time scales can be easily controlled, and a multiscale velocity field derived from altimetry data in the North Atlantic ocean. We find the optimal time and length scales for the Gaussian flow model favouring the plankton spread. These results are used for an analysis of a more realistic altimetry flow. We discuss the findings in terms of the time scale of the NPZ model, the qualitative interaction of the flow with the reaction front and a Finite-Time Lyapunov Exponent analysis.

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Section: Discussionsupporting

confidence: 70%

The role of mesoscale eddies time and length scales on phytoplankton production

Pérez‐Muñuzuri

Huhn

2010

Nonlin. Processes Geophys.

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“…The Consensus model takes the form: 1) where N (t) is the population density at time t with the time unit, which crudely correspounds to one day [12], α, b and c are constants, and (t) is a random variable representing exogeneous population density-independent effects on the rotifer population under study. Throughout this paper we exclude the random component of population dynamics from consideration, i.e.…”

Section: The Modelmentioning

confidence: 99%

From Bistability to Coupling-Induced Oscillations in a Two-Habitat Model for the Rotifer Population Dynamics

Medvinsky

Gonik

Rusakov

et al. 2008

Math. Model. Nat. Phenom.

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Abstract. We study the role of interactions between habitats in rotifer dynamics. For this purpose we use a modified version of the Consensus model. The Consensus model has been shown to be realistic enough to reproduce distinguishing features of the rotifer species dynamics. Being uncoupled, intrinsically bistable rotifer populations, which inhabit the regions under different environmental conditions, do not impact each other. We show that migration of the rotifers between the habitats leads to the transformation of bistability to oscillatory dynamics. The coupling-induced oscillations of the rotifer biomass are shown to be either regular or irregular depending on the value of the model parameters, which describe environmental conditions and the biomass exchange between the habitats. We show that the irregular oscillations are characterized by positive values of the Lyapunov exponent, which means that they are chaotic.

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“…Turing spatial patterns have been observed in computer simulations of interaction-diffusion system by many authors [14][15][16]41]. Medvinsky et al [21,22] examined plankton spatial patterns some of which were fish-free in the reaction-diffusion model with passive movement of individuals of two interacting species caused by turbulent mixing. Malchow et al [17] studied the spatio-temporal dynamics of the plankton model under the influence of environmental noise and diffusion in horizontally two-dimensional space.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Turing patterns in a plankton model

Upadhyay

Volpert

Thakur

2012

Journal of Biological Dynamics

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The paper is devoted to a reaction-diffusion system of equations describing phytoplankton and zooplankton distributions. Linear stability analysis of the model is carried out. Turing and Hopf stability boundaries are found. Emergence of two-dimensional spatial structures is illustrated by numerical simulations. Travelling waves between various stationary solutions are investigated. Transitions between homogeneous in space stationary solutions and Turing structures are studied.

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Patchy environment as a factor of complex plankton dynamics

Cited by 50 publications

References 31 publications

The role of mesoscale eddies time and length scales on phytoplankton production

The role of mesoscale eddies time and length scales on phytoplankton production

From Bistability to Coupling-Induced Oscillations in a Two-Habitat Model for the Rotifer Population Dynamics

Propagation of Turing patterns in a plankton model

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